DOI: 10.1140/epjc/s2002-01061-x
Path integral for a Dirac particle in a quantized plane wave field
B. Bentag, A. Merdaci and L. ChetouaniDépartement de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, Algeria
(Received: 26 July 2002 / Revised version: 11 September 2002 / Published online: 25 October 2002 )
Abstract
The problem of a relativistic spinning particle interacting with
a
quantized electromagnetic plane wave is treated by employing
path integral
methods and introducing the notion of a coherent state action.
The dynamics
of the particle spin is described using the supersymmetric action
proposed
recently by Alexandrou et al. in the so-called global representation.
It is
shown that to obtain the relative causal Green function, two
fermionic
identities, related directly to the classical equations of motion,
have to
be incorporated. The Green function, as constructed, allows
us to extract
in a natural way the expressions of the corresponding energy
spectrum and
wave functions.
© Società Italiana di Fisica, Springer-Verlag 2002
